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A polyhedral approach to edge coloring - MaRDI portal

A polyhedral approach to edge coloring (Q1180838)

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scientific article; zbMATH DE number 30041
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English
A polyhedral approach to edge coloring
scientific article; zbMATH DE number 30041

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    A polyhedral approach to edge coloring (English)
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    27 June 1992
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    The edge coloring problem is formulated as an integer linear program of covering edges by matchings. For the NP-hard case of 3-regular graphs a linear programming relaxation with additional constraints is considered using column generation. The theory and the algorithm use the fact that the chromatic index is equal to 3 or 4. Computational experiments with randomly generated and some special graphs are presented.
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    polyhedral approach
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    edge coloring
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    covering edges by matchings
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    NP-hard
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    3-regular graphs
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